Chapter 14.1, Problem 1RC

Interpretation Introduction

Interpretation:

Balanced equation for a gas phase reaction has to be written. Rate of the reaction is,

$\text{Rate}\text{=}-\frac{\text{Δ}\left[S{O}_2\right]}{\text{Δt}}=-\frac{\text{1}}{3}\frac{\text{Δ}\left[CO\right]}{\text{Δt}}\text{=}\frac{\text{1}}{2}\frac{\text{Δ}\left[C{O}_2\right]}{\text{Δt}}\text{=}\frac{\text{Δ}\left[COS\right]}{\text{Δt}}$

Concept introduction:

Rate of the reaction is the change in the concentration of reactant or a product with time.

For a general reaction,

$aA+bB\to cC+dD$ , Here a, b, c and d are the coefficients.

$\text{Rate}\text{=}-\frac{\text{1}}{\text{a}}\frac{\text{Δ}\left[\text{A}\right]}{\text{Δt}}\text{=}-\frac{\text{1}}{\text{b}}\frac{\text{Δ}\left[\text{B}\right]}{\text{Δt}}\text{=}\frac{\text{1}}{\text{c}}\frac{\text{Δ}\left[\text{C}\right]}{\text{Δt}}\text{=}\frac{\text{1}}{\text{d}}\frac{\text{Δ}\left[\text{D}\right]}{\text{Δt}}$

The negative sign indicates the reduction of concentration of reactant.

$\Delta \left[A\right],\Delta \left[B\right],\Delta \left[C\right]and\Delta \left[D\right]$ are the change in concentration of A, B, C and D over time period $\Delta t$.